Just in one project or any project?
Try creating a brand new project, brand new composition, and make a shape layer move from one side to the other and try to preview it. Try both spacebar and 0.
What is the exact version number of AE that you're using? Is it 13.6.1?
What sort of error messages do you get when it crashes?
I have the same problem that helldestroy360 wrote here.
My version of AE is 184.108.40.206 (After Effect 2015.1)
It crashes everytime I pre render my composition (any composition!), both with 0 that with the spacebar, even when I move the pointer in the timeline to see the preview.
No error message, Windows reports that the program it's crashed
Thanks at all.